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Which of the following expressions can be written as a product of two binomials using the identity for the difference of two squares?
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Answer and explanation
Correct answer: \(x^2 - 49\)
\(x^2-49=x^2-7^2\) is a difference of two squares. Using \(a^2-b^2=(a-b)(a+b)\), it becomes \((x-7)(x+7)\). \(x^2+49\) is a sum of squares, not this identity. Exam tip: check for two perfect squares separated by a minus sign.
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What is the correct answer to this question?
\(x^2 - 49\)
Why is this the correct answer?
\(x^2-49=x^2-7^2\) is a difference of two squares. Using \(a^2-b^2=(a-b)(a+b)\), it becomes \((x-7)(x+7)\). \(x^2+49\) is a sum of squares, not this identity. Exam tip: check for two perfect squares separated by a minus sign.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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